Home / 3,182.04-4,770.63-2,142

Finding the Fourth Proportional to 3,182.04, 4,770.63 and 2,142

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Solution

The fourth proportional to 3,182.04, 4,770.63 and 2,142 is: 3,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.04 : 4,770.63 = 2,142 : x
  2. Step 2: Convert to fraction form
    3,182.04/4,770.63 = 2,142/x
  3. Step 3: Cross multiply
    3,182.04x = 4,770.63 × 2,142
  4. Step 4: Simplify right side
    3,182.04x = 10,218,689.46
  5. Step 5: Solve for x
    x = 10,218,689.46/3,182.04
  6. Step 6: Final answer
    x = 3,211.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.